Scalars and vectors (AQA A-Level Physics): Flashcards

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Scalars and vectors
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Scalar quantity definition

Has magnitude only, no direction

Vector quantity definition

Has both magnitude and direction

Examples of scalar quantities

Distance, speed, mass, temperature

Examples of vector quantities

Displacement, velocity, force, acceleration

How to find resultant magnitude of perpendicular vectors?

Use Pythagoras' theorem

How to find resultant direction of perpendicular vectors?

Use trigonometry (e.g., tanθ=oppositeadjacent\tan \theta = \frac{\text{opposite}}{\text{adjacent}})

Horizontal component formula for vector VV

x=Vcosθx = V \cos \theta

Vertical component formula for vector VV

y=Vsinθy = V \sin \theta

Equilibrium definition

Sum of forces is zero, no resultant force

Showing equilibrium with 3 forces

Draw scale triangle; if closed, in equilibrium

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